Synchronization Modeling and Stability of Cyberspace Operation Based on Collective Defensive Mechanism
WANG Gang① HU Xin① MA Runnian① LIU Wenbin②
①(Information and Navigation Institute, Air Force Engineering University, Xi'n 710077, China) ②(College of Computer Science and Engineering, Wenzhou University, Wenzhou 325035, China)
Abstract：Based on cyberspace security collective defensive mechanism and its synchronization, uncertainty factors are introduced in the synchronization of cyberspace operation, and the improved synchronization model is established. The stability of cyberspace operation synchronization is analyzed by utilizing Lyapunov function, and synchronization criterions are put forward. What is more, factors that influenced synchronization ability and stability are explored, such as edge connection probability, cyberspace scale, standby elements, and uncertainty probability. Finally, simulations are given. Theoretical research and simulations show that the factors of cyberspace operation synchronization are negatively related with the second eigenvalue and the ratio of minimum eigenvalue to the second eigenvalue, and corresponding negatively related with the cyberspace ecosystem’s global synchronization stability and local synchronization stability.
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